M3722 Non-Euclidean geometry

Faculty of Science
Spring 2003
Extent and Intensity
3/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jan Chrastina, CSc. (lecturer)
Milada Suchomelová (assistant)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Josef Janyška, DSc.
Prerequisites
Elementary projective geometry including projective coordinates.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Basic notions and models of Non-Euclidean geometry.
Syllabus
  • 1. Classification of geometries. 2. Models of Euclidean and non-Euclidean geometries. 3. Elementary geometry of hyperbolic plane. 4. Hyperbolic and elliptic trigonometry. 5. Laguerre's formula with applications. 6. Transformations in non-Euclidean geometry.
Literature
  • Hlavatý,V. Neeuklidovská geometrie
  • Kagan. Základy neeuklidovské geometrie I.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught once in two years.
The course is taught: every week.
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2001, Spring 2002, Spring 2005, Spring 2007, Spring 2009, Spring 2011.
  • Enrolment Statistics (Spring 2003, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2003/M3722